%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:55 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 79
% Syntax : Number of formulae : 242 ( 18 unt; 28 def)
% Number of atoms : 544 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 542 ( 240 ~; 274 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 66 ( 65 usr; 66 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
~ vertical_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).
fof(f5,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_2) ).
fof(f7,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_1) ).
fof(f9,negated_conjecture,
( vertical_1_5
| horizontal_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_5) ).
fof(f11,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_2) ).
fof(f13,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_4) ).
fof(f15,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_1) ).
fof(f17,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_3) ).
fof(f19,negated_conjecture,
( vertical_3_5
| horizontal_3_4
| vertical_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_5) ).
fof(f21,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_2) ).
fof(f23,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_4) ).
fof(f25,negated_conjecture,
( horizontal_5_1
| vertical_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_1) ).
fof(f27,negated_conjecture,
( horizontal_5_3
| horizontal_5_2
| vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_3) ).
fof(f29,negated_conjecture,
( horizontal_5_4
| vertical_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_5) ).
fof(f31,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_4) ).
fof(f36,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_1) ).
fof(f37,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_1) ).
fof(f44,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_3) ).
fof(f45,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_3) ).
fof(f47,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_3) ).
fof(f56,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_5) ).
fof(f57,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_5) ).
fof(f62,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_2) ).
fof(f63,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_2) ).
fof(f64,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_2) ).
fof(f65,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_2) ).
fof(f66,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_2) ).
fof(f67,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_2) ).
fof(f74,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_4) ).
fof(f75,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_4) ).
fof(f77,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_4) ).
fof(f78,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).
fof(f79,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_4) ).
fof(f83,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_1) ).
fof(f84,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_1) ).
fof(f85,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_1) ).
fof(f92,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_3) ).
fof(f93,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_3) ).
fof(f94,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_3) ).
fof(f95,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_3) ).
fof(f96,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_3) ).
fof(f97,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_3) ).
fof(f104,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_5) ).
fof(f105,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_5) ).
fof(f106,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_5) ).
fof(f108,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_2) ).
fof(f109,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_2) ).
fof(f110,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_2) ).
fof(f114,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_4) ).
fof(f115,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_4) ).
fof(f116,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_4) ).
fof(f119,definition,
( spl0_1
<=> vertical_1_4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f121,plain,
( ~ vertical_1_4
| spl0_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl0_2
<=> horizontal_1_4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f125,plain,
( ~ horizontal_1_4
| spl0_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f31,f123,f119]) ).
fof(f128,definition,
( spl0_3
<=> vertical_1_5 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f130,plain,
( ~ vertical_1_5
| spl0_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,plain,
~ vertical_2_1,
inference(global_subsumption,[],[f5,f7,f37]) ).
fof(f133,plain,
~ horizontal_2_1,
inference(global_subsumption,[],[f36,f5,f7]) ).
fof(f134,plain,
~ vertical_2_2,
inference(global_subsumption,[],[f132,f31,f9,f13,f15,f17,f19,f21,f23,f25,f27,f29,f44,f56,f57,f64,f66,f67,f74,f77,f78,f84,f85,f93,f95,f97,f104,f105,f108,f110,f114,f116]) ).
fof(f135,plain,
~ vertical_2_3,
inference(global_subsumption,[],[f134,f133,f3,f11,f47]) ).
fof(f136,plain,
~ horizontal_2_3,
inference(global_subsumption,[],[f45,f134,f133,f3,f11]) ).
fof(f138,definition,
( spl0_4
<=> vertical_2_4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f140,plain,
( ~ vertical_2_4
| spl0_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,definition,
( spl0_5
<=> horizontal_2_4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f144,plain,
( ~ horizontal_2_4
| spl0_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f147,definition,
( spl0_6
<=> vertical_2_5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f149,plain,
( ~ vertical_2_5
| spl0_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f56,f147,f142]) ).
fof(f151,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f57,f147,f128]) ).
fof(f153,definition,
( spl0_7
<=> vertical_3_1 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f154,plain,
( vertical_3_1
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( ~ vertical_3_1
| spl0_7 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl0_8
<=> horizontal_3_1 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f159,plain,
( ~ horizontal_3_1
| spl0_8 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f162,definition,
( spl0_9
<=> vertical_3_2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f163,plain,
( vertical_3_2
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( ~ vertical_3_2
| spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl0_10
<=> horizontal_3_2 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f168,plain,
( ~ horizontal_3_2
| spl0_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f172,definition,
( spl0_11
<=> vertical_3_3 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f173,plain,
( vertical_3_3
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( ~ vertical_3_3
| spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl0_12
<=> horizontal_3_3 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f178,plain,
( ~ horizontal_3_3
| spl0_12 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,plain,
~ horizontal_3_2,
inference(global_subsumption,[],[f63,f62,f57,f56,f136,f132,f31,f9,f13,f15,f19,f21,f23,f25,f27,f29,f74,f78,f84,f85,f93,f95,f104,f105,f108,f110,f114,f116]) ).
fof(f181,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f180,f166]) ).
fof(f183,definition,
( spl0_13
<=> vertical_3_4 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f185,plain,
( ~ vertical_3_4
| spl0_13 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,definition,
( spl0_14
<=> horizontal_3_4 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f189,plain,
( ~ horizontal_3_4
| spl0_14 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f74,f187,f183]) ).
fof(f191,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f75,f187,f176]) ).
fof(f193,definition,
( spl0_15
<=> vertical_3_5 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f195,plain,
( ~ vertical_3_5
| spl0_15 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f199,definition,
( spl0_16
<=> vertical_4_1 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f201,plain,
( ~ vertical_4_1
| spl0_16 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl0_17
<=> horizontal_4_1 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f205,plain,
( ~ horizontal_4_1
| spl0_17 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f83,f203,f199]) ).
fof(f208,definition,
( spl0_18
<=> vertical_4_2 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f210,plain,
( ~ vertical_4_2
| spl0_18 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl0_19
<=> horizontal_4_2 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f214,plain,
( ~ horizontal_4_2
| spl0_19 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f218,definition,
( spl0_20
<=> vertical_4_3 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f220,plain,
( ~ vertical_4_3
| spl0_20 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_21
<=> horizontal_4_3 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f224,plain,
( ~ horizontal_4_3
| spl0_21 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f92,f222,f218]) ).
fof(f226,plain,
( ~ spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f93,f222,f212]) ).
fof(f229,definition,
( spl0_22
<=> vertical_4_4 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f231,plain,
( ~ vertical_4_4
| spl0_22 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl0_23
<=> horizontal_4_4 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f234,plain,
( horizontal_4_4
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( ~ horizontal_4_4
| spl0_23 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f239,definition,
( spl0_24
<=> vertical_4_5 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f241,plain,
( ~ vertical_4_5
| spl0_24 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f104,f239,f233]) ).
fof(f243,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f105,f239,f193]) ).
fof(f245,definition,
( spl0_25
<=> horizontal_5_1 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f247,plain,
( ~ horizontal_5_1
| spl0_25 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl0_26
<=> horizontal_5_2 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f250,plain,
( horizontal_5_2
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( ~ horizontal_5_2
| spl0_26 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f108,f249,f245]) ).
fof(f254,definition,
( spl0_27
<=> horizontal_5_3 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f255,plain,
( horizontal_5_3
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( ~ horizontal_5_3
| spl0_27 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f259,definition,
( spl0_28
<=> horizontal_5_4 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f260,plain,
( horizontal_5_4
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f114,f259,f254]) ).
fof(f264,plain,
( horizontal_1_4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f9,f130]) ).
fof(f265,plain,
( $false
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f264,f125]) ).
fof(f266,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( vertical_4_1
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f25,f247]) ).
fof(f268,plain,
( $false
| spl0_16
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f267,f201]) ).
fof(f269,plain,
( spl0_16
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f271,plain,
( horizontal_5_4
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f29,f241]) ).
fof(f272,plain,
( spl0_28
| spl0_24 ),
inference(avatar_split_clause,[],[f271,f239,f259]) ).
fof(f283,plain,
( vertical_3_1
| vertical_2_1
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f15,f159]) ).
fof(f284,plain,
( vertical_2_1
| spl0_7
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f283,f155]) ).
fof(f285,plain,
( $false
| spl0_7
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f284,f132]) ).
fof(f286,plain,
( spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f288,plain,
( horizontal_3_4
| vertical_2_5
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f19,f195]) ).
fof(f289,plain,
( vertical_2_5
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f288,f189]) ).
fof(f290,plain,
( $false
| spl0_6
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f289,f149]) ).
fof(f291,plain,
( spl0_6
| spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f293,plain,
( horizontal_5_2
| vertical_4_3
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f27,f256]) ).
fof(f294,plain,
( vertical_4_3
| spl0_26
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f293,f251]) ).
fof(f295,plain,
( $false
| spl0_20
| spl0_26
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f294,f220]) ).
fof(f296,plain,
( spl0_20
| spl0_26
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f309,plain,
( vertical_3_3
| horizontal_3_2
| vertical_2_3
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f17,f178]) ).
fof(f310,plain,
( horizontal_3_2
| vertical_2_3
| spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f309,f174]) ).
fof(f311,plain,
( vertical_2_3
| spl0_10
| spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f310,f168]) ).
fof(f312,plain,
( $false
| spl0_10
| spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f311,f135]) ).
fof(f313,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f318,plain,
( ~ vertical_4_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f85,f154]) ).
fof(f323,plain,
( ~ spl0_16
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f318,f153,f199]) ).
fof(f327,plain,
( vertical_2_4
| horizontal_2_3
| vertical_1_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f13,f144]) ).
fof(f328,plain,
( horizontal_2_3
| vertical_1_4
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f327,f140]) ).
fof(f329,plain,
( vertical_1_4
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f328,f136]) ).
fof(f330,plain,
( $false
| spl0_1
| spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f329,f121]) ).
fof(f331,plain,
( spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f339,plain,
( vertical_4_4
| horizontal_4_3
| vertical_3_4
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f23,f235]) ).
fof(f340,plain,
( horizontal_4_3
| vertical_3_4
| spl0_22
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f339,f231]) ).
fof(f341,plain,
( vertical_3_4
| spl0_21
| spl0_22
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f340,f224]) ).
fof(f342,plain,
( $false
| spl0_13
| spl0_21
| spl0_22
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f341,f185]) ).
fof(f343,plain,
( spl0_13
| spl0_21
| spl0_22
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f344,plain,
( ~ vertical_4_4
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f116,f255]) ).
fof(f347,plain,
( ~ spl0_22
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f344,f254,f229]) ).
fof(f348,plain,
( ~ horizontal_4_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f94,f173]) ).
fof(f350,plain,
( ~ spl0_21
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f348,f172,f222]) ).
fof(f355,plain,
( ~ horizontal_3_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f65,f163]) ).
fof(f358,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f355,f162,f157]) ).
fof(f359,plain,
( vertical_4_2
| horizontal_4_1
| vertical_3_2
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f21,f214]) ).
fof(f361,plain,
( horizontal_4_1
| vertical_3_2
| spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f359,f210]) ).
fof(f362,plain,
( vertical_3_2
| spl0_17
| spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f361,f205]) ).
fof(f363,plain,
( $false
| spl0_9
| spl0_17
| spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f362,f164]) ).
fof(f364,plain,
( spl0_9
| spl0_17
| spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f365,plain,
( ~ vertical_4_2
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f109,f250]) ).
fof(f368,plain,
( ~ spl0_18
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f365,f249,f208]) ).
fof(f369,plain,
( ~ horizontal_4_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f97,f173]) ).
fof(f372,plain,
( ~ spl0_19
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f369,f172,f212]) ).
fof(f374,plain,
( ~ vertical_4_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f96,f173]) ).
fof(f379,plain,
( ~ spl0_20
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f374,f172,f218]) ).
fof(f381,plain,
( ~ vertical_3_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f106,f234]) ).
fof(f386,plain,
( ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f381,f233,f193]) ).
fof(f388,plain,
( ~ vertical_4_4
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f115,f260]) ).
fof(f391,plain,
( ~ spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f388,f259,f229]) ).
fof(f395,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f77,f183,f176]) ).
fof(f401,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f79,f176,f138]) ).
fof(f407,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f78,f183,f138]) ).
cnf(s121,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f126]) ).
cnf(s148,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f150]) ).
cnf(s152,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f151]) ).
cnf(s174,plain,
~ spl0_10,
inference(sat_conversion,[],[f181]) ).
cnf(s178,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f190]) ).
cnf(s182,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f191]) ).
cnf(s194,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s206,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f225]) ).
cnf(s210,plain,
( ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f226]) ).
cnf(s224,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f242]) ).
cnf(s228,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f243]) ).
cnf(s232,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f252]) ).
cnf(s240,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f262]) ).
cnf(s247,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f266]) ).
cnf(s251,plain,
( spl0_16
| spl0_25 ),
inference(sat_conversion,[],[f269]) ).
cnf(s257,plain,
( spl0_24
| spl0_28 ),
inference(sat_conversion,[],[f272]) ).
cnf(s275,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f286]) ).
cnf(s279,plain,
( spl0_6
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f291]) ).
cnf(s283,plain,
( spl0_20
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f296]) ).
cnf(s293,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f313]) ).
cnf(s318,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f323]) ).
cnf(s347,plain,
( spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f331]) ).
cnf(s363,plain,
( spl0_13
| spl0_21
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f343]) ).
cnf(s368,plain,
( ~ spl0_22
| ~ spl0_27 ),
inference(sat_conversion,[],[f347]) ).
cnf(s376,plain,
( ~ spl0_11
| ~ spl0_21 ),
inference(sat_conversion,[],[f350]) ).
cnf(s405,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f358]) ).
cnf(s416,plain,
( spl0_9
| spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f364]) ).
cnf(s421,plain,
( ~ spl0_18
| ~ spl0_26 ),
inference(sat_conversion,[],[f368]) ).
cnf(s428,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f372]) ).
cnf(s447,plain,
( ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f379]) ).
cnf(s461,plain,
( ~ spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f386]) ).
cnf(s470,plain,
( ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f391]) ).
cnf(s479,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f395]) ).
cnf(s506,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f401]) ).
cnf(s535,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f407]) ).
cnf(s536,plain,
( ~ spl0_12
| spl0_9
| spl0_6 ),
inference(rat,[],[s194,s251,s416,s232,s421,s283,s206,s210,s363,s240,s470,s257,s228,s461,s279,s182,s479]) ).
cnf(s537,plain,
( ~ spl0_15
| spl0_13
| spl0_21 ),
inference(rat,[],[s470,s257,s363,s228,s461]) ).
cnf(s538,plain,
( ~ spl0_26
| spl0_19
| spl0_9 ),
inference(rat,[],[s194,s251,s416,s232,s421]) ).
cnf(s539,plain,
( spl0_9
| spl0_6 ),
inference(rat,[],[s178,s279,s363,s228,s224,s257,s240,s368,s283,s538,s376,s428,s447,s293,s536,s174]) ).
cnf(s540,plain,
( ~ spl0_11
| spl0_6 ),
inference(rat,[],[s178,s363,s279,s224,s228,s257,s240,s368,s283,s376,s447,s232,s251,s318,s275,s405,s539]) ).
cnf(s541,plain,
spl0_6,
inference(rat,[],[s283,s240,s206,s257,s537,s228,s279,s182,s479,s293,s540,s232,s251,s318,s275,s405,s539,s174]) ).
cnf(s543,plain,
~ spl0_5,
inference(rat,[],[s148,s541]) ).
cnf(s544,plain,
( ~ spl0_26
| spl0_19 ),
inference(rat,[],[s275,s318,s405,s251,s538,s232]) ).
cnf(s545,plain,
~ spl0_4,
inference(rat,[],[s224,s257,s363,s240,s368,s283,s544,s376,s428,s447,s293,s506,s535,s174]) ).
cnf(s546,plain,
~ spl0_3,
inference(rat,[],[s152,s541]) ).
cnf(s547,plain,
spl0_1,
inference(rat,[],[s347,s543,s545]) ).
cnf(s548,plain,
spl0_2,
inference(rat,[],[s247,s546]) ).
cnf(s549,plain,
$false,
inference(rat,[],[s121,s548,s547]) ).
fof(f408,plain,
$false,
inference(avatar_sat_refutation,[],[s549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:29:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 % (1231902)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (1231909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3766400250:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (1231909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1231902-1231909"...
% 0.10/0.44 % (1231908)% WARNING: option uhcvi not known.
% 0.10/0.44 % (1231909)...printing done.
% 0.10/0.44 % (1231909)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (1231909)------------------------------
% 0.10/0.44 % (1231909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (1231909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (1231909)CaDiCaL version: 2.1.3
% 0.10/0.44 % (1231909)Termination reason: Refutation
% 0.10/0.44 % (1231909)Time elapsed: 0.005 s
% 0.10/0.44 % (1231909)Peak memory usage: 12 MB
% 0.10/0.44 % (1231909)Instructions burned: 13 (million)
% 0.10/0.44 % (1231902)Success in time 0.029 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------